The Hamiltonian of a two-dimensional quantum harmonic oscillator is \(H=\frac{p_x^2}{2 m}+\frac{p_y^2}{2 m}+\frac{1}{2} m ω^2 x^2+2 m ω^2 y^2\) where m and ω are positive constants. The degeneracy of the energy level \(E=\frac{27}{2} \hbar \omega\) is